# How do you find the least common multiple of 15 and 2?

Nov 13, 2016

LCM = 30

#### Explanation:

• Divide the larger number by the smaller number. If it divides exactly then the larger number is the LCM.

• Repeat with multiples of the larger number ( multiply by 2, 3, 4, 5, 6, 7, 8 and 9 ) until exact division is obtained.

rArr color(red)(15)÷2 color(white)(xxx)X

$\textcolor{red}{15}$ is not the LCM

Now try the multiple $2 \times 15 = \textcolor{red}{30}$

rArrcolor(red)(30)÷2 color(white)(xxx) ✔︎

$\Rightarrow \textcolor{red}{30}$ is the LCM.